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Finding the Fourth Proportional to 455.36, 680.08 and 406.40

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Solution

The fourth proportional to 455.36, 680.08 and 406.40 is: 606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 680.08 = 406.40 : x
  2. Step 2: Convert to fraction form
    455.36/680.08 = 406.40/x
  3. Step 3: Cross multiply
    455.36x = 680.08 × 406.40
  4. Step 4: Simplify right side
    455.36x = 276,384.51
  5. Step 5: Solve for x
    x = 276,384.51/455.36
  6. Step 6: Final answer
    x = 606.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.